Tina does not have enough rope to decorate the frame
Step-by-step explanation:
Tina wants to decorate a rectangular picture frame
- The width of the frame is 18 inches
- The length of the frame is 14 inches
- She has 4 feet rope
We want to know if she has enough rope or not to decorate the frame
∵ The frame is in the shape of the rectangle
- The length of the rope must be equal the perimeter of the frame
∵ The perimeter of a rectangle = 2 length + 2 width
∵ The length = 14 inches
∵ The width = 18 inches
∴ The perimeter of the frame = 2(14) + 2(18) = 28 + 36 = 64 inches
∵ The length of the rope is 4 feet
∵ 1 foot = 12 inches
∴ The length of the rope = 4 × 12 = 48 inches
∵ 48 < 64
∴ The length of the rope is less than the perimeter of the frame
∴ Tina does not have enough rope
Tina does not have enough rope to decorate the frame
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Place Brunhilda at (0,0) which is the location of the intersection of the x and y axis. I'm going to label this point A.
Move 3 units to the right to arrive at point B = (3,0). Then move 2 units up to arrive at point C = (3,2). The next step is to walk 5 units to the left and you get to point D = (-2,2). Finally, we move 2 units south to get to the point E = (-2,0)
When we talk about displacement, we only care about starting and ending points. The stuff in between doesn't matter. We start at (0,0) and end at (-2,0). So the displacement is 2 units to the right or "2 meters west"
Answer: Choice C) 2 m west
Check out the attached image to see a visual of what is going on.
Edit: I mistakenly thought she started at point A. instead she starts at point B. So the answer is actually 5 meters west.
Answer:

Step-by-step explanation:
We have the inequality:

First, we can factor out a 5 from our absolute value. This yields:

Simplify:

Add 14 to both sides:

Divide both sides by 2:

Definition of Absolute Value:

Solve each case individually:
Case 1:

Subtract 2 from both sides:

Case 2:

Divide both sides by -1. Flip the sign:

Subtract 2 from both sides:

So, our answers are:

Since our inequality is a <em>greater than</em>, we will have an "or" inequality.
So, our answer is all values left to the first solution and all values to the right of the second solution:

And we're done!
Let Q(t) = the mass (mg) remaining after t hours.
We are told that Q diminishes by 3% every hour.
When t = 0, Q = 4 mg
When t = 1, Q = 4*0.97 mg
When t = 2, Q = 4*(0.97)² mg
By induction,

Q'(t) = 0.97Q
Therefore the rate of decrease is 3% per hour.
The person receives an additional dosage when Q falls to 0.50 mg. This happens when

After the second injection, the mass is now 4.5 mg. Therefore

When the mass again reaches 0.50 mg, then

Answers:
(a)

(b) 3% per hour
(c) 68.3 hours
(d) 72.1 hours
Answer:
.
Step-by-step explanation:
Given:
Kerry and her brother and noticed there is 3/4 of a pint of ice cream in the freezer.
After they eat some ice cream there is 1/3 of a pint left.
Question asked:
How much ice cream did Kerry and her brother eat ?
Solution:
Total ice cream in the freezer = 
Ice cream left = 
<h3>They ate = Total ice cream in the freezer - Ice cream left after they ate</h3>

Thus, Kerry and her brother ate
.